Question 174837

{{{(15x^2-24x+9)/(3x-3)}}} Start with the given expression.



{{{(3(5x-3)(x-1))/(3x-3)}}} Factor {{{15x^2-24x+9}}} to get {{{3(5x-3)(x-1)}}}.



{{{(3(5x-3)(x-1))/(3(x-1))}}} Factor {{{3x-3}}} to get {{{3(x-1)}}}.



{{{(highlight(3)(5x-3)highlight((x-1)))/(highlight(3)highlight((x-1)))}}} Highlight the common terms. 



{{{(cross(3)(5*x-3)cross((x-1)))/(cross(3)cross((x-1)))}}} Cancel out the common terms. 



{{{5x-3}}} Simplify. 



So {{{(15x^2-24x+9)/(3x-3)}}} simplifies to {{{5x-3}}}.



In other words, {{{(15x^2-24x+9)/(3x-3)=5x-3}}} where {{{x<>1}}}